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MCQ 4 - E8 Construct proofs involving trigonometric functions and identities. - Pure Mathematics

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Pure Mathematics

Exam-style question

Try this first

What should a student check when answering a question on construct proofs involving trigonometric functions and…?.

  1. A.E8: connect the result back to the original question
  2. B.Use any familiar GCSE calculation even if it ignores Construct proofs involving trigonometric functions and…
  3. C.Write only the final answer without showing the mathematical method
  4. D.Change the notation or restrictions to make the algebra look simpler

Model answer

What a good answer should say

  • The correct answer is E8: connect the result back to the original question.
  • This option is best because state the assumption, justify each logical step, and identify the conclusion, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.

This answer is tied to the objective: E8 Construct proofs involving trigonometric functions and identities..

Explanation

Why this works

Use the explanation to connect the worked answer back to E8 Construct proofs involving trigonometric functions and identities..

E8: connect the result back to the original question is the correct option. It directly supports construct proofs involving trigonometric functions and… by requiring the student to state the assumption, justify each logical step, and identify the conclusion.

The other options are weaker because they hide the reasoning, ignore restrictions, or use a generic calculation that may not fit the objective.

Maths method check

  • Topic focus: Pure Mathematics.
  • Question style: practice.
  • Reasoning demand: analysis.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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